Answer:
153 degrees is the measure of the supplementary angle
Answer:

Step-by-step explanation:
Before subtracting we require the fractions to have a common denominator.
The lowest common multiple of x + 4 and x + 6 is (x + 4)(x + 6)
Multiply the numerator/denominator of the first fraction by x + 6 and
multiply the numerator/denominator of the second fraction by x + 4
=
- 
Expand the numerators and simplify leaving the denominator
= 
= 
= 
Answer:
4/5 *3/8 < 4/5
Step-by-step explanation:
We are multiplying by a number less than 1 so multiplying 4/5 by 3/8 will give us a number less than 4/5
4/5 *3/8 < 4/5
Answer:
<em>The scale factor is 3</em>
Step-by-step explanation:
<u>Dilations</u>
A dilation is a transformation that produces an image that has the same shape as the original but has a different size.
A dilation is described by the scale factor or constant of dilation and the center of the dilation.
We are given a triangle XYZ of coordinates given in the graph to the left:
X=(-1,1), Y=(-1,4), Z=(-2,1)
It was dilated to triangle X'Y'Z' with coordinates:
X'=(-3,3), Y=(-3,12), Z=(-6,3)
Note each coordinate of the dilated triangle is three times the coordinates of the original triangle, thus the scale factor is 3
Given:
The equation is

To find:
The reason for each statement.
Solution:
We have,

Using distributive property, we get

On combine like terms, we get

Using addition property of equality, add 2x on both sides.

Using subtraction property of equality, subtract 7 from both sides.

Using division property of equality, divide both sides by 20.


Therefore, the required reasons are:
2. Distributive property
3. Combining like terms
4. Addition property of equality
5. Subtraction property of equality